An accurate and efficient method for dynamic analysis of two-dimensional periodic structures

Gao, Q., Zhang, H. W., Zhong, W. X., Howson, W. P. and Williams, Ffion 2016. An accurate and efficient method for dynamic analysis of two-dimensional periodic structures. International Journal of Applied Mechanics 08 (02) , 650013. 10.1142/S1758825116500137

Full text not available from this repository.

Abstract

In this paper, an accurate and efficient method is presented for analyzing the dynamic response of two-dimensional (2D) periodic structures. The algebraic structure of the corresponding matrix exponential is analyzed and, based on its special structure, an accurate and efficient method for its computation is proposed. Accuracy is maintained using the precise integration method (PIM), and great efficiency is achieved in the computational effort using the periodic properties of the structure and the energy propagation features of the dynamic system. The proposed method is compared with the conventional Newmark and Runge–Kutta (R–K) methods, and it is shown to be accurate, efficient and extremely frugal in its memory requirements.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords:	Periodic structures; matrix exponential; precise integration method; dynamic responses
ISSN:	1758-8251
Date of Acceptance:	23 January 2016
Last Modified:	12 Jul 2023 01:06
URI:	https://orca.cardiff.ac.uk/id/eprint/103773

Citation Data

Cited 10 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item